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Finding the Fourth Proportional to 564,367.68, 846,577.44 and 143,647.20

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Solution

The fourth proportional to 564,367.68, 846,577.44 and 143,647.20 is: 215,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,367.68 : 846,577.44 = 143,647.20 : x
  2. Step 2: Convert to fraction form
    564,367.68/846,577.44 = 143,647.20/x
  3. Step 3: Cross multiply
    564,367.68x = 846,577.44 × 143,647.20
  4. Step 4: Simplify right side
    564,367.68x = 121,608,478,839.17
  5. Step 5: Solve for x
    x = 121,608,478,839.17/564,367.68
  6. Step 6: Final answer
    x = 215,477.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.